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These problems arise in studying of general properties of degenerate singular points of dynamical systems obtained from the normalized Ricci flow on generalized Wallach spaces. Our main goal is to prove the connectedness of $(0,1/2)^3 \\cap \\Omega$ and to determine the number of connected components of $(0,1/2)^3 \\setminus \\Omega$.\n  Key words and phrases: Riemannian metr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.5814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-21T10:02:01Z","cross_cats_sorted":[],"title_canon_sha256":"8bc8f3be2bfcfe6b929a80a331622000637fd53c6996f8826544ffab9f926f43","abstract_canon_sha256":"eb90770e2c9b3d8b988065a72ad6bb4cde44ffa7a7e36eb250f134aafff5ebe9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:21.520844Z","signature_b64":"XUcvex6okIgiao1Qmv5fZtKK+1wU2EmnkuBI96qwS35Lzmz3YTePWyAFY7aF+SFSplib0FwCgDyru3jHVct2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af67d38d3e879f1e6b282ab253fb1d6310355455916f677f2fef69866cc7c2d9","last_reissued_at":"2026-05-18T02:32:21.520474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:21.520474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On topological structure of some sets related to the normalized Ricci flow on generalized Wallach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"N.A. 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